Example

Simplifying ( rac{2}{9} + rac{7}{12}) + rac{5}{12}

Simplify the expression ( rac{2}{9} + rac{7}{12}) + rac{5}{12} by using the associative property of addition to group the terms with identical denominators.

The second and third terms both have a denominator of 1212. Change the grouping to pair them together:

rac{2}{9} + ( rac{7}{12} + rac{5}{12})

Perform the addition within the parentheses:

rac{2}{9} + ( rac{12}{12})

Simplify the resulting fraction to 11:

rac{2}{9} + 1

Add to get a mixed number:

1 rac{2}{9}

Finally, convert the mixed number to an improper fraction:

rac{11}{9}

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Updated 2026-04-21

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